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Finding the Fourth Proportional to 660.03, 910.37 and 407.95

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Solution

The fourth proportional to 660.03, 910.37 and 407.95 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.03 : 910.37 = 407.95 : x
  2. Step 2: Convert to fraction form
    660.03/910.37 = 407.95/x
  3. Step 3: Cross multiply
    660.03x = 910.37 × 407.95
  4. Step 4: Simplify right side
    660.03x = 371,385.44
  5. Step 5: Solve for x
    x = 371,385.44/660.03
  6. Step 6: Final answer
    x = 562.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.